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2021届高考英语写作专题练习：名校模拟卷应用文汇总6【2020届年东北三省三校(哈师大附中、东北师大附中、辽宁省实验中学)高三第二次联合模拟】假定你叫李华，在你校就读的来自美国的交换生杰克很想学习中国书法(Chinese calligraphy)，想找一位中国书法教师。
请给他写封邮件，内容包括：1. 已为他找了一名教师李先生；2. 简单介绍李先生；3. 询问什么时候开始学习。
注意：1. 词数100左右；2. 可以适当增加细节，以使行文连贯。
______________________________________________________________________________________________【答案】Dear Jack,How’s everything? Last time you told me that you are interested in Chinese calligraphy and wanted to have a Chinese calligraphy teacher. Now, good news for you. I have found an excellent one for you in our school.Most importantly, he can teach you how to write beautiful Chinese characters in both Chinese and English. He has promised to teach you after work because he hopes to make an effort to spre ad the traditional culture. So please tell me when you can begin your learning.I’m looking forward to your reply.Best wishes.Yours,Li Hua【2020届广东省茂名市高三级第一次综合测试】书面表达(满分25分)52.假定你是李华，你的英国朋友Linda很喜欢中国文化，特别是丝绸。
哈尔滨师大附中 东北师大附中 辽宁省实验中学2023年高三第二次联合模拟考试数学注意事项：1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上.2.回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑.如需改动，用橡皮擦干净后，再选涂其他答案标号.回答非选择题时，将答案写在答题卡上，写在本试卷上无效.3.考试结束后，将本试卷和答题卡一并交回.第Ⅰ卷（选择题共60分）一、选择题（本大题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项符合题目要求的）1.已知集合{}1,2,3A =，{}20B x x x m =-+=，若{}2AB =，则B =（ ）A.{}2,1B.{}2,4C.{}2,3D.{}2,1-2.已知复数z 满足24i z z +=+，则z =（ ） A.34i +B.34i -C.34i -+D.34i --3.已知向量()1,0a =，1,22b ⎛=-⎝⎭，则a b -=（ ） A.3C.14.有7名运动员（5男2女）参加A 、B 、C 三个集训营集训，其中A 集训营安排5人，B 集训营与C 集训营各安排1人，且两名女运动员不在同一个集训营，则不同的安排方案种数为（ ） A.18B.22C.30D.365.两条直线()0y kx k =>和2y kx =-分别与抛物线24y x =交于异于原点的A 、B 两点，且直线AB 过点()1,0，则k =（）A.12B.1D.26.如图，直角梯形ABCD 中，3AB CD =，30ABC ∠=︒，4BC =，梯形ABCD 绕AD 所在直线旋转一周，所得几何体的外接球的表面积为（ ）A.1123πB.48πC.128πD.208π7.定义在R 上的奇函数()f x 满足()()11f x f x +=-，且在[]0,1上单调递减，若方程()10f x +=在[)0,1有实数根，则方程()1f x =在区间[)1,11-上所有实数根之和是（ ） A.6B.12C.30D.568.已知三个互异的正数a ，b ，c 满足2ln cc aa=+，()21ab =+，则关于a ，b ，c 下列判断正确的是（ ） A.a b c <<B.a b c >>C.2a c b -<-D.2a c b ->-二、选择题（本大题共4小题，每小题5分，共20分，在每小题给出的选项中，有多项符合题目要求.全部选对的得5分，部分选对的得2分，有选错的得0分）9.函数()sin cos f x x x =+，则下列说法正确的是（ ） A.()f x 为偶函数B.()f x 的最小正周期是πC.()f x 在0,2π⎛⎫⎪⎝⎭单调递增 D.()f x 的最小值为1-10.金枪鱼因为肉质柔嫩鲜美、营养丰富深受现代人喜爱，常被制作成罐头食用.但当这种鱼罐头中的汞含量超过1.0mg/kg 时，食用它就会对人体产生危害.某工厂现有甲、乙两条金枪鱼罐头生产线，现从甲、乙两条生产线中各随机选出10盒罐头并检验其汞含量（单位为mg/kg ），其中甲生产线数据统计如下：0.07，0.24，0.39，0.54，0.61，0.66，0.73，0.82，0.95，0.99，其方差为210.08s =.乙生产线统计数据的均值为20.4x =，方差为220.11s =，下列说法正确的是（ ）A.甲生产线的金枪鱼罐头汞含量数值样本的上四分位数是0.82B.甲生产线的金枪鱼罐头汞含量数值样本的上四分位数是0.775C.由样本估计总体，甲生产线生产的金枪鱼罐头汞含量平均值高于两条生产线生产的金枪鱼罐头汞含量平均值D.由样本估计总体，甲生产线生产的金枪鱼罐头汞含量数值较两条生产线生产的金枪鱼罐头汞含量数值更稳定11.已知正方体1111ABCD A B C D -E ，F 是棱1DD ，1CC 的中点，点M 是侧面11CDD C 内运动（包含边界），且AM 与面11CDD C 所成角的正切值为2，下列说法正确的是（ ）A.1MC 2B.存在点M ，使得AM CE ⊥C.存在点M ，使得AM ∥平面BDFD.所有满足条件的动线段AM 形成的曲面面积为612.已知函数()()1,*mn f x x m n N x=+∈，下列结论正确的是（ ） A.对任意m ，*n N ∈，函数()f x 有且只有两个极值点 B.存在m ，*n N ∈，曲线()y f x =有经过原点的切线 C.对于任意10x >，20x >且12x x ≠，均满足()()121222f x f x x x f ++⎛⎫<⎪⎝⎭D.当0x >时，()()f x f x -≤恒成立第Ⅱ卷（非选择题共90分）三、填空题（本大题共4小题，每小题5分，共20分）13.大气压强p =压力受力面积，它的单位是“帕斯卡”（Pa ，21Pa 1N/m =），已知大气压强()Pa p 随高度()m h 的变化规律是0khp p e -=，其中0p 是海平面大气压强，10.000126m k -=.当地高山上一处大气压强是海平面处大气压强的13，则高山上该处的海拔为______米.（答案保留整数，参考数据ln3 1.1≈） 14.曲线22x y x y +=+围成的图形的面积是______.15.已知双曲线()2222:10,0x y C a b a b-=>>的右焦点为(),0F c ，过点F 且斜率为2的直线与双曲线C 的两条渐近线分别交于M 、N 两点，若P 是线段MN 的中点，且PF =，则双曲线的离心率为______. 16.A 、B 、C 、D 、E 五个队进行单循环赛（单循环赛制是指所有参赛队在竞赛中均能相遇一次），胜一场得3分，负一场得0分，平局各得1分.若A 队2胜2负，B 队得8分，C 队得9分，E 队胜了D 队，则D 队得分为______.四、解答题（本大题共6小题，共70分.解答应写出文字说明、证明过程和演算步骤）17.（本小题满分10分）记ABC △的内角A 、B 、C 的对边分别为a 、b 、c ，已知()21cos 4bc A a +=.（1）证明：3b c a +=； （2）若2a =，7cos 9A =，角B 的内角平分线与边AC 交于点D ，求BD 的长. 18.（本小题满分12分）调查问卷中常常涉及到个人隐私或本人不愿正面回答的问题，被访人可能拒绝回答，即使回答，也不能期望答案是真实的.某小区要调查业主对物业工作是否满意的真实情况，现利用“随机化选答抽样”方法制作了具体调查方案，其操作流程如下：在一个箱子里放3个红球和2个白球，被调查者在摸到球后记住颜色并立即将球放回，如果抽到的是红球，则回答“你的性别是否为男性？”如果抽到的是白球，则回答“你对物业工作现状是否满意？”两个问题均用“是”或“否”回答.（1）共收取调查问卷100份，其中答案为“是”的问卷为60份，求一个业主对物业工作表示满意的概率，已知该小区共有业主500人，估计该小区业主对物业工作满意的人数；（2）现为了提高对物业工作满意的业主比例，对小区业主进行随机访谈，请表示不满意的业主在访谈中提出两个有待改进的问题.（ⅰ）若物业对每一个待改进的问题均提出一个相应的解决方案，该方案需要由5名业主委员会代表投票决定是否可行.每位代表投赞同票的概率均为13，方案需至少3人投赞成票，方能予以通过，并最终解决该问题，求某个问题能够被解决的概率0p ；（ⅱ）假设业主所提问题各不相同，每一个问题能够被解决的概率都为0p ，并且都相互独立.物业每解决一个问题，业主满意的比例将提高一个百分点.为了让业主满意的比例提高到80%，试估计至少要访谈多少位业主？ 19.（本小题满分12分）如图，已知斜四棱柱1111ABCD A B C D -，底面ABCD 为等腰梯形，AB CD ∥，点1A 在底面ABCD 的射影为O ，且11AD BC CD AA ====，2AB =，112AO =，1AA BC ⊥.（1）求证：平面ABCD ⊥平面11ACC A ；（2）若M 为线段11B D 上一点，且平面MBC 与平面ABCD 夹角的余弦值为7，求直线1A M 与平面MBC所成角的正弦值. 20.（本小题满分12分） 已知数列{}n a ，设()12*nn a a a m n N n+++=∈，若{}n a 满足性质Ω：存在常数c ，使得对于任意两两不等的正整数i 、j 、k ，都有()()()k i j i j m j k m k i m c -+-+-=，则称数列{}n a 为“梦想数列”. （1）若()2*nn b n N =∈，判断数列{}n b 是否为“梦想数列”，并说明理由； （2）若()21*n c n n N =-∈，判断数列{}n c 是否为“梦想数列”，并说明理由； （3）判断“梦想数列”{}n a 是否为等差数列，并说明理由. 21.（本小题满分12分）已知椭圆()22122:10x y C a b a b +=>>的离心率为3，x 轴被抛物线22:4x C y b =-截得的线段长与1C 长轴长的比为2:3.（1）求1C 、2C 的方程；（2）设2C 与y 轴的交点为M ，过坐标原点O 的直线l 与2C 相交于点A 、B ，直线MA 、MB 分别与1C 相交与D 、E .（ⅰ）设直线MD 、ME 的斜率分别为1k 、2k ，求12k k 的值； （ⅱ）记MAB △、MDE △的面积分别是1S 、2S ，求12S S 的最小值. 22.（本小题满分12分）已知函数()()ln 10f x x ax a =-->.（1）当1a =时，求过原点且与()f x 相切的直线方程；（2）若()()()0axg x x e f x a =+⋅>有两个不同的零点1x 、()2120x x x <<，不等式212mx x e ⋅>恒成立，求实数m 的取值范围.三省三校第二次模拟答案一、单选题二、多选题三、填空题：13、873014、2π+15 16、18.2ln 2ln c c a a -=-考虑：()()2ln 0f x x x x =->，则()221x f x x x-'=-= ()f x 在()0,2递减；()f x 在()2,+∞递增()()()min 221ln 20f x f ==->（1）当02a <<，2c >时，21a+=设()x xg x =+，是减函数，且()21g =()()2121aaag a g b a =+>=⇒=+>⇒> 2212152a b =+<+=⇒<所以，22c b a a c b >>>⇒->-（2）当02c <<，2a >时，同理可得：22a b c a c b >>>⇒->- 综上可得：2a c b ->-成立. 12.如图：（1）在第一象限+都是凹函数（二阶导数大于零） （2）图二、图三有过原点的切线 （3）极值点的个数是一个或两个（4）当m ，n 同奇数或同偶数时，()()f x f x =-；当m ，n 是一奇，一偶数时，()()f x f x >-； 15.设()11,M x y ，()22,N x y ，()00,P x y2211222222222200MN OP x y b a b k k a x y a b ⎧-=⎪⎪⇒⋅=⎨⎪-=⎪⎩，则OP 的方程为222b y x a =，MN 的方程为：()2y x c =- ()222224242P b y xa c x c OP e a ab y xc ⎧=⎪⇒==+⇒=⎨-⎪=-⎩16.A 队：2胜2负（无平局） C 队：3胜1负（无平局）B 队：2胜2平，则B 队和D 、E 是平局；B 队胜了A 、C这样找到了C 队负的一场，输给B 队 这样B 、C 结束；A 队赢D 、E 最后，E 胜D ，则D 的1分.四、解答题17.（本题满分10分）（1）证明：()222221cos 4142b c a bc A a bc a bc ⎛⎫+-+=⇒+= ⎪⎝⎭()229b c a +=，则3b c a +=……5'（2）由余弦定理得：2222cos a b c b A =+-，则9bc =，又3b c a +=，则3b c ==由角分线可得，95AD =所以，在ABD △中，由余弦定理得：2222cos BD AD c AD c A =+-⋅，BD =10'18.（本题满分12分）（1）记：事件A =“业主对物业工作表示满意”，则()()2316035521004P A P A ⋅+⋅=⇒= 所以，35003754⨯=（人）……4' 答：该小区业主对物业工作表示满意的人数约为375人.（2）（ⅰ）3245345055512121173333381P C C C ⎛⎫⎛⎫⎛⎫⎛⎫=⋅+⋅+= ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭……8' （ⅱ）设至少要访谈n 位业主31738101280%10047.6481417n n ⎛⎫⎛⎫⋅-⋅⋅≥-⨯⇒≥≈ ⎪ ⎪⎝⎭⎝⎭答：至少要访谈48位业主.……12' 19.（本题满分12分）（1）证明：等腰梯形ABCD 中，2AB =，1BC CD AD ===则，60ABC ∠=︒……2'1BC ACBC BC AA ⊥⎧⇒⊥⎨⊥⎩平面11A ACC ，BC ⊂平面ABCD ，则平面ABCD ⊥平面11A ACC ，……4' （2）建立如图所示空间直角坐标系C xyz -，则)A，()0,1,0B，2O ⎛⎫ ⎪ ⎪⎝⎭，1122A ⎛⎫ ⎪ ⎪⎝⎭，131,0222CD BA ⎛⎫==-⎪ ⎪⎝⎭ 1133,022B DBD ⎛⎫==- ⎪ ⎪⎝⎭，1112DD AA ⎛⎫== ⎪ ⎪⎝⎭，1110,,22D⎛⎫- ⎪⎝⎭ 设111,0D M D B λ⎛⎫== ⎪ ⎪⎝⎭，131,,222M λ⎛⎫-+ ⎪ ⎪⎝⎭ (6)'设平面MBC 的法向量为(),,n x y z =131022220n CM y z n CB y λλ⎧⎛⎫⎧⋅-++=⎪⎪ ⎪⇒⎨⎨⎝⎭⋅⎪⎪⎩=⎩，取1x =，则()1,0,n =-……8' 取平面ABCD 的法向量()0,0,1m =221cos ,417m n m n m nλ⋅==⇒=，则12λ= 即：11,04A M ⎛⎫= ⎪⎪⎝⎭，1,0,n ⎛= ⎝⎭……10' 设直线1A M 与平面MBC 所成的角为θ，则1113sin cos ,7A M n A M n A M nθ⋅===⋅所以，直线1A M 与平面MBC……12' 20.（本题满分12分）（1）()()()k i j i j m j k m k i m c -+-+-=()()()k j i j i m i k m k j m c -+-+-=所以，0c =当2nn b =时，12m =，23m =，3143m =()()()142612232313033-+-⋅+-⋅=≠所以，{}n b 不是“梦想数列”……4' （2）21i a i =-，21j a j =-，21k a k =-()()()2220k i j i j j k k i k i j-+-+-=所以，{}n c 不是“梦想数列”……6'（3）①令1i =，2j =，3k = ()()()1231121223310312a a a a a a +++-+-+-= 所以，1322a a a +=，即：1a 、2a 、3a 成等差数列……8' ②令1i =，2j =，()3k n n =≥ ()()()21122102n S S n a n n -+-+-= ()()2122310n S n n a n n a +---= ()()21122210n S n n a n n a ++---+= 所以，11121122220n n a na a na a a nd +++--=⇒=+ 所以，()()114n a a n d n =+-≥，当1,2,3n =时也成立. 综上可得，“梦想数列”{}n a 是等差数列. ……12' 21.（本题满分12分）（1）椭圆方程：()222210x y a b a b+=>>13323c b a a ⎧=⎪=⎧⎪⇒⎨=⎩=，所以，221:19x C y +=，221:14C y x =-……4' （2）设直线l 的方程为y kx =，()11,A x y ，()22,B x y22440114y kxx kx y x =⎧⎪⇒--=⎨=-⎪⎩，则121244x x k x x +=⎧⎨⋅=-⎩……6' 又111114y x k x +==，12121164x x k k ==- 联立122114014y k x x k x x y =-⎧⎪⇒-=⎨=-⎪⎩，则114x k =，同理：224x k = 联立()1221122191180990y k x k x k x x y =-⎧⇒+-=⎨+-=⎩ 13211891k x k =+，同理：24221891k x k =+……8' ()()2211221sin 429191181sin 2MA MB AMBS k k S MD ME DME ∠==++∠……10' 2121481916919811616324k k ⎛⎫=+++≥ ⎪⎝⎭，当且仅当112k =±时，取等号 所以，12S S 的最小值为169324. ……12' 22.（本题满分12分）（1）()f x 的定义域为()0,+∞ ()111f x a x x'=-=- 设切点坐标()000,ln 1x x x -+，则切线方程为：()()00001ln 11y x x x x x ⎛⎫--+=--⎪⎝⎭把点()0,0带入切线得：20x e =所以，()f x 的切线方程为：221e y x e-=……4' （2）()()ln 1axg x x ex ax =+--有两个不同零点，则()()()ln ln 10ln 1ln 10ax x ax ax xx e x ax x ax e x ax e-+--=⇒+--=+--=……6' 构造函数()1xu x e x =+-，()1xu x e '=+()u x 为(),-∞+∞增函数，且()00u =即：ln 0x ax -=有两个不等实根1122ln ln ax x ax x =⎧⎨=⎩令1122ln ln x x t x x ==，()01t <<，则12ln ln x t x =，12ln ln ln x x t =+ 122ln 2ln ln 1t x x t t ++=-……8' 设()()2ln 011x v x x x x +=<<-，()()22123ln 1x x v x x x x ⎡⎤+-'=-+⎢⎥-⎣⎦ 设()23ln 1x x x xφ=-+-+，()()()212x x x x φ--'= ()x φ在()0,1递增，()10φ=，则()v x 在()0,1递减，且()10v =所以，()v x 的最小值()1v ，……10' ()()()112ln lim 2ln 31x x x x x x x =→+'=+=-所以，()v x 的最小值为3，即：m 的取值范围为(],3-∞. ……12'。
哈尔滨师大附中 东北师大附中 辽宁省实验中学2024年高三第二次联合模拟考试化学试卷性气味气体的产生，设计了由灯座、灯盏、烟管三部分组成的结构。
下列说法错误本试卷共19题，共100分。
考试用时75分钟。
注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2．答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
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写在本试卷上无效。
3．考试结束后，将本试卷和答题卡一并交回。
本卷可能用到的相对原子质量：H1Li7C12O16F19Mg24S32K39一、选择题（本题共15小题，每小题3分，共45分。
在每小题给出的四个选项中，只有一个选项符合要求。
）1．东汉错银铜牛灯采用铜、银二种材质制作，常以动物油脂或植物油为燃料，为减少燃烧过程烟尘和刺激的是（ ）A ．烟管的作用是将燃烧产生的烟气导入铜牛灯座腹腔中B ．古人常用草木灰浸泡液代替牛腹中的水，吸收烟气的效果更佳C ．银、铜的导热性能好，可以使燃料充分燃烧D ．灯具的设计包含了装置、试剂、环保等实验要素 2．下列化学用语或表述错误的是（ ）A ．乙烯的球棍模型：B ．基态Al 原子最高能级的电子云轮廓图：C ．在()346Ni NH SO 中，阴离子的VSEPR 模型名称：正四面体形D ．次氯酸钠中含有的化学键类型：极性键、离子键 3．下列有关物质的工业制备反应错误的是（ ）A ．侯氏制碱：23234NaCl H O NH CO NaHCO NH Cl +++↓+B ．工业合成氨：223N 3H 2NH →+← 高温、高压催化剂C ．氯碱工业：2222NaCl 2H O2NaOH H Cl ++↑+↑电解D ．冶炼金属铝：322AlCl 2Al 3Cl +↑电解4．穴醚是一类可以与碱金属离子发生配位的双环或多环多齿配体。
某种穴醚的键线式如图。
哈尔滨师大附中东北师大附中辽宁省实验中学20 14年高三第二次联合模拟考试语文试卷本试卷分第1卷(阅读题)和第lI卷(表达题)两部分，其中第1卷第三、四题为选考题，其它题为必考题。
考生作答时，将答案答在答题卡上，在本试卷上答题无效。
考试结束后，将本试卷和答题卡一并交回。
’注意事项：1·答题前，务必先将自己的姓名、准考证号填写在答题卡上，认真核对条形码上的姓名、准考证号，并将条形码粘贴在答题卡的指定位置上。
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3．请按照题号在各题的答题区域(黑色线框)内作答，超出答题区域书写的答案无效。
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第1卷阅读题甲必考题一、现代文阅读(9分，每小题3分)阅读下面的文字，完成l~3题。
为什么教育不能产业化教育究竟能不能产业化?教育的确在一定程度上具有与私人产品相同的属性，比如这种产品的消费也具有一定的竞争性、排他性，并且，受教育者可以通过教育得益，例如增加工资收入、提高社会地位、获得精神享受等，其教育花费也就等同于私人的一种投资。
从这个意义上讲，教育具有商品属性，可以定价，可以买卖。
但是，教育同时具有公共产品的基本属性——社会公益性。
受教育者通过教育可以获得个人的种种直接收益，但受过良好教育的公民无疑可以给全社会带来广泛的收益，包括生产力的提高、社会文明程度的进步等等。
正因教育消费有溢出效应，也就是公益性，所以，经济学把教育定义为“准公共产品"，而不是私人产品。
这早已成为世界性的共识，成为世界所有国家主要由政府举办教育事业的最重要的理论根基。
1 999年10月联合国教科文组织在巴黎召开了首次世界教育大会，大会一致认为“市场规律和竞争法则不适用于教育。
教育不是经济的一个分支。
教育过程、教育目标、教育结果或t教育产品'都不能与经济相提并论"。
东北三校（哈师大附中、东师大附中、辽宁省实验中学）2021届高三第二次联合模拟考试英语试题一、短对话1．What are the speakers mainly discussing?A．A job. B．A training course. C．An interesting experience.2．What will the woman probably do before eight?A．Visit a friend. B．See a doctor. C．Go to a movie.3．How does the woman feel about the man?A．Thankful. B．Dissatisfied. C．Proud.4．Why does the woman look troubled?A．Because she has to leave her friend.B．Because she doesn't like living in the dorm.C．Because she can't manage to move house herself.5．Where are the speakers ?A．At a clothing store. B．At the doctor's. C．At home.二、长对话听下面一段较长对话，回答以下小题。
6．Why is the man talking to the woman?A．To do a task for a program. B．To sell books. C．To do a survey.7．Who does the woman admire most?A．An actress. B．A writer. C．A dancer.听下面一段较长对话，回答以下小题。
8．How much will the man pay for the room per night?A．$50, B．$62. C．$75.9．What does the man care about most?A．The telephone. B．The television. C．The Internet.听下面一段较长对话，回答以下小题。
东北三省三校哈师大附中、东北师大附中、辽宁省实验中学2024届物理高二上期中复习检测试题注意事项：1．答卷前，考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。
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答案不能答在试题卷上。
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考试结束后，请将本试卷和答题卡一并交回。
一、单项选择题：本题共6小题，每小题4分，共24分。
在每小题给出的四个选项中，只有一项是符合题目要求的。
1、在如图所示的电路中，当滑动变阻器的滑动片向下移动时，关于电灯L的亮度及电容器C所带电量Q的变化判断正确的是（）A．L变暗，Q增大B．L变暗，Q减小C．L变亮，Q增大D．L变亮，Q减小2、如图所示，铜盘安装在水平的铜轴上，磁感线垂直穿过铜盘；两块铜片M、N分别与铜轴和铜盘边缘接触，匀速转动铜盘，电阻R就有电流通过。
则下列说法正确的是A．铜盘绕铜轴转动时，沿半径方向上的金属“条”切割磁感线，产生电动势B．回路中恒定电流的大小与铜盘转速无关C．回路中的电流大小和方向都作周期性变化D．回路中电流方向不变，从M经导线流进电阻R，再从N流向铜盘3、我们的银河系的恒星中大约四分之一是双星。
某双星由质量为M的星球A和质量为m 的星球B 构成，两星在相互之间的万有引力作用下绕两者连线上某一定点O 做匀速圆周运动，已知M >m ，两星球之间的距离为L ，下列说法正确的是A ．星球A 运动的轨道半径大B ．星球B 运动的线速度大C ．星球B 运动周期大D ．星球B 的向心力大4、如图所示，a 、b 、c 、d 一个矩形的四个顶点.匀强电场与矩形所在平面平行.已知a 点的电势为14V ，b 点的电势为18V ，d 点的电势为2V ，由此可知c 点的电势为（ ）A ．6VB ．8VC ．10VD ．14V5、如图所示，电解池内有一价离子的电解液，在时间t 内通过溶液截面S 的正离子数为n 1，负离子数为n 2，设元电荷电荷量为e ，则以下说法正确的是A ．溶液内电流方向从A 到B ，电流为1n e tB ．溶液内电流方向从B 到A ，电流为2n e tC ．溶液内正、负离子反方向移动，产生的电流相互抵消D ．溶液内电流方向从A 到B ，电流为()12n n e t+. 6、某导线中的电流是7.5×10–3 A ，则通过导线横截面的电荷量为15 C 所需要的时间为 A ．2.0×104 sB ．2.0×106 sC ．2.0×105 sD ．2.0×103 s二、多项选择题：本题共4小题，每小题5分，共20分。
2020年东北三省三校高三第二次联合模拟英语试题注意事项：1．答题前填写好自己的姓名、班级、考号等信息；2．请将答案正确填写在答题卡上。
第I卷（选择题)一、阅读理解Moringa Farm Internship ProgramDATE：5 May〜30 November 2019LOCATION: Jaipur IndiaEVENT TYPE：TwiningEVENT INDUSTRY/TOPIC: Clean Energy, Climate & Environment, Food & Agriculture and Quality/Process ManagemMoringa (辣木), a kind of miracle tree, has come a long way today to become a symbol of the fight against growing nutrition deficiency (营养不足) across the globe. It is also a crop suited to the climatic conditions of the region, which is unusually rich in its nutrition content literally from top to bottom.Supporting learning：The Moringa Farm Internship Program is sort of like a live, interactive slideshow of agriculture making of Moringa from “Soil to Super food” that touches all the participant’s senses.The Program’s Objectives：The Moringa Farm Internship Program is devoted to enriching the knowledge and lives of young people by providing them with a unique educational experience on an organic Moringa Farm in rural Jaipur, India. Program participants can learn about conservation, maintenance (维护), care, and management of Moringa Farming by means of hands-on work experience with local Moringa Farm staff.Participants will be able to interact with Moringa specialists and educators, on all issuesthat may affect their operations. Experts will let you know management strategies and equipment operation up close on hand to answer your specific questions.The Moringa Farm Internship will provide an excellent opportunity to learn about sustainable tools, techniques, and approaches that can be used in Moringa Production and value-added production systems, righting (突出) pest and disease management, leaf/seed production, and tools and equipment for commercial production.If you’re trying to learn about Moringa, there’s nothing like going to a farm and getting your hands dirty. So click here to register now!1．Why is Moringa specifically described in the text?A．To stress the importance of the crop.B．To encourage people to plant Moringa.C．To show the significance of the program.D．To draw attention to nutrition deficiency.2．What can we know about the Moringa Farm Internship Program?A．It is intended for farmers. B．It lasts more than half a year.C．It provides vocational training. D．It is available on the Internet.3．How do the program’s participants learn about Moringa?A．By attending various courses about it.B．By involving themselves in farming it.C．By observing specialists and educators.D．By watching slideshows about the crop.We had two dogs, Lucky and Lily Bit. Lucky loved to find ways to leave the confines (束缚) of her indoor living routine, which made her a masterful escape artist. Lily Bit, on the other hand, did exactly as she was told, never straying, always staying close to home... except when she came under the influence of Lucky.Whenever the two got out together, they could be seen out of sights often staying away for hours. More often than not, they’d arrive home near suppertime, covered in mud and leaves and smelling to high heaven from their afternoon outing in the woods.I remember one such occasion w hen they’d once again mysteriously escaped, except this time, they returned clean and no worse for wear. It wasn’t until a few days later that we learned why. My wife ran into our neighbor Carl who lived a few houses down from us.“I saw your two dogs the other day,” Carl said with a smile,“Oh, yes? I’m so sorry. They’d been so good lately, so it was such a surprise when they got out. I sure hope they didn’t cause any trouble.” my wife replied,“Oh, no, no trouble at all. Did you have any idea where they went?”“No,” my wife answered.“They attended my dog’s funeral (葬礼)” Carl said sadly.“What?” Ann exclaimed, “Oh, no. I didn’t know Toby had died.“Yep, it died a couple days ago. I was burying him in the back lot when your two dogs came running up. They sa t down not far from me while. I finished burying him, then they left.”“Wow that’s amazing! ” my wife replied. “Toby was Lily Bit’s father, you know. ”“No, I didn’t know that,” Carl replied, “but I guess that explains why she felt like she needed to be th ere. She had to say her final goodbye.”4．What words can best explain the meaning of the word “straying” underlined in Para. 1? A．Wandering away. B．Staying stillC．Shouting loudly. D．Disobeying impolitely.5．What difference between Lucky and Lily Bit is suggested in the first paragraph? A．Their abilities were different. B．Their hobbies were different. C．Their personalities were different D．Their physical features were different. 6．What would generally happen to the two dogs after they got home from outside? A．They got more united. B．They looked in a mess.C．They smelled nice as usual. D．They got willing to do as told to. 7．What is the author’s purpose of writing the text?A．To show his respect for dogs. B．To be in memory of his dogs.C．To suggest learning from dogs, D．To think highly of his two dogs.Two years ago, Kursat Ceylan was in New York to give a talk about disability rights at the U. N.. Blind since birth, the Turkish man was struggling to find his hotel, holding a cane in one hand and pulling his luggage with the other.“Not surprisingly, all of a sudden I bumped into a pole,” he says. “It was a little bit bloody.”The problem with a cane is that, while it can tell you what's on the grounds it doesn't help with objects at the body or head level. It wasn't the first time Ceylan had run into something,injuring himself.“I have no problem with my scars, they make me more handsome I guess,” Ceylan says, laughing. “But I don’t need new ones.”With WeWalk, a new smart cane, Ceylan hopes to help other blind people navigate their environments more easily. The cane uses an ultrasonic(超声波)sensor which detects objects at body or head level and gives a warning vibration. WeWalk users pair the cane with their smartphones and then use the cane's touchpad to access features like voice assistant or navigation. Before leaving home, they can plug their destination into Google Maps and get spoken directions as they walk. In the future, Ceylan hopes to connect WeWalk with public transportation and ridesharing services.The GPS- and voice technology-enabled cane can tell users what’s around them—they’re passing a McDonald’s, they’re at Exit D of the subway station. An ultrasonic sensor detects objects at body or head level and gives a warning vibration.Assistive technology is often expensive for blind people, says Eelke Folmer, a computer science professor at the University of Nevada! Reno. But developers fail to realize their devices are out of reach for many blind people. To Folmer, the price point—$500——sets the WeWalk cane apart from other technologies.Ceylan sees WeWalk as part of an attempt to help blind people achieve greater freedom of movement, which he believes will give them greater access to education and jobs. The canes are already having an impact on users, Ceylan says. He recently received an email from a teacher in Ireland who had become blind as an adult. He'd been depressed and housebound. But since getting a WeWalk cane, “your device forced me to go out. It became my anti- depressant. ” he wrote.8．Why is a story about Kursat Ceylan given at the beginning of the text?A．To stress the difficulty caused by blindness.B．To show his reason for developing his cane.C．To indicate the problems with present canes.D．To show his positive and humorous character.9．What can WeWalk do at present according to the text?A．Provide fast Internet access. B．Start conversations with users.C．Tell users what is around them. D．Connect with ridesharing services. 10．What does Folmer think is the advantage of WeWalk over other assistive technologies?A．It is easily affordable, B．It is easily controllable.C．It works better for users, D．It looks more attractive.11．What is the text mainly about?A．The increasing demand for smart canes.B．A blind man’ s devotion to smart canes.C．A smart cane’s effects on blind people.D．An assistive technology for the blind.When you think of a national park, you generally picture fresh air and wild animals, right? Well, now you're going to have to add tea shops and something called "the Tube" to your definition, because London, England has signed up to be the first "National Park City."London was established by the Romans around 2,000 years ago and has been continually inhabited (居住于) since then. In all that time, however, nobody had the idea to replace all the parks with big box stores or high buildings, which means London already has a much lower urban density (密度)than most of the worlds cities. Nowadays about a third of the city is green space,In July 2019, London announced its willingness to become the world’s first National Park City. Now the city is moving toward the goal of achieving 50% green space by the year 2050 by connecting and expanding public parks, greening up unused parking lots and the private yards of existing and new houses, fixing some green roofs on existing buildings and even cutting holes in fences for wildlife to pass through."Inspired by the aims and values of our precious rural national parks, the London National Park City is basically about making life better in the capital through both small everyday things and long-term strategic thinking," Daniel Raven-Ellison, who began the campaign to make London a National Park City six years ago said in a press release. "We've been doing that in London for centuries, which is why London is so green and diverse. "London will have a much easier job achieving this type of green transformation than more densely-urbanized cities like Paris and New York, which have 10% and 27% greenspace, respectively. But that doesn't mean it's not possible——the National Park City Foundation hopes to employ 25 more cities in addition to London by the year 2025. Glasgow, Scotland and Newcastle upon Tyne in northeast England are both currently considering becoming National Park Cities.12．What makes London more likely to become a national park city than other cities? A．Its smaller population. B．The government’s efforts.C．Its less dense urbanization, D．Its citizens’ great support.13．Where can we find the data on London’s measures to achieve its goal?A．In Paragraph 1. B．In Paragraph 2.C．In Paragraph 3. D．In Paragraph 4.14．What is Daniel Raven-Ellison trying to talk about in the fourth paragraph? A．London’s long-term strategic thinking.B．The significance of London’s campaign.C．The effects of national parks on London.D．The resources of London’s green space.15．What can we infer from the last paragraph?A．Trying to be a national park city is turning new trend.B．National park cities are springing up around the world.C．It is so easy for London to become a national park city.D．National park cities are making improvements to our life.二、完形填空When I was growing up, there was a pizza shop right down the street from me, The pizza shop was 16 by a Chinese woman who opened the place around 11:00 a. m. and closed it around midnight every day. The food was good, and its 17 were a right size. As far as I knew, the menu never 18 . The woman would take a（n）19 and then return to the kitchen and make it while the customer stood 20 at the counter.One day the woman 21 the pizza shop to a man. The man 22 on running the pizza shop with his wife. I was around fifteen and one day I went inside the pizza shop and began talking with the new owners. Within minutes of my starting the 23 , the man and his wife offered me a(n) 24 They’d printed many paper menus and they wanted me to hang them on the doors in the area.I enjoyed the work as it was fun. As I did this with them one Sunday afternoon, they told me about how 25 the Chinese woman had been. They told me she used too expensive cheese. They were planning to stop 26 chicken because chicken was expensive andpizza was really 27 to make. They were 28 the business was going to be a cash cow for them.As I listened to all this, I decided these people must be very smart. 29 , within several months, they were out of 30 completely, and the pizza place sat there vacant for over a year 31 it was turned into flooring store. The new owners thought only about how the business could 32 them, and how they could reduce 33 to fatten their own wallets. This is why they ended up 34 . After all, everyone loves people and businesses that are more 35 with serving others than themselves. 16．A．purchased B．expanded C．operated D．frequented 17．A．populations B．portions C．measures D．surroundings 18．A．improved B．extended C．worsened D．altered 19．A．order B．chance C．walk D．dish 20．A．resting B．admiring C．waiting D．observing 21．A．transferred B．sold C．referred D．donated 22．A．focused B．went C．insisted D．planned 23．A．trade B．argument C．discussion D．deal 24．A．recommendation B．job C．assignment D．reward 25．A．stupid B．intelligent C．awkward D．hardworking 26．A．preparing B．buying C．serving D．consuming 27．A．swift B．cheap C．interesting D．convenient 28．A．worried B．lucky C．hopeful D．sure 29．A．Instead B．Additionally C．However D．Consequently 30．A．business B．sight C．place D．control 31．A．Unfortunately B．Instantly C．Suddenly D．Eventually 32．A．influence B．benefit C．promote D．involve 33．A．costs B．bills C．prices D．ingredients 34．A．declining B．quitting C．failing D．compromising 35．A．satisfied B．concerned C．patient D．familiar第II卷（非选择题）三、七选五Continuous learning benefits us in many ways. First of all, it allows the increase in knowledge and ability in our career. For example, watching someone work can make us a better worker. 36．For example, we can learn about the general workforce and how the application process works to better prepare us for job searching. This can help if for some reason you lose your job and need to find other work.What’s more, continuous learning can open o ur mind. Having an open mind and willingness to take on new ideas can do wonders. First of all it builds your attitude towards change. 37．Second, when you take continuous learning into account, you can begin to understand how others feel about a particular issue.38．They are always looking for new experiences and do different things. Moreover,they not only have knowledge on various topics that aren’t always related to present roles but also know about the latest trends and technologies in the industry.To develop continuous learning, you have to begin with setting a clear and specific goal. 39．Once your goal is set, build a system to help support your strategy. You want to be looking for different sources of information, but also to be picky about it, In other words, try to learn within your specific field but ensure the information is coming from a trustworthy source- At the same time, do use tools to help improve your learning system. 40．Seminars (研讨会) workshops, and live classes are the tools that modern learners need as they make learning effective.A．Learning can improve other areas in our lives.B．Besides, learning can prepare us for the unexpected.C．If always learning, you are always improving.D．Excellent continuous learners behave in a specific manner.E．Being excited about change can affect others around you positively.F．There’re various tools to help you present information and learning.G．Knowing what you want to achieve can encourage you to keep learnings.四、语法填空阅读下列材料，在空白处填入适当的内容（1个单词）或括号内单词的正确形式。
2020年东北三校⾼三⼆模英语试题（含答案和解析）（哈师⼤附中、东北师⼤附中、辽宁省实验中学）英语试卷第1页（共8页）哈尔滨师⼤附中2020年尚三第⼆次联合模拟考试东北师⼈附⼬卄.、. 辽宁省实验中学英语试卷注意事项：1 ?答卷询,考⽣务必将门⼰的姓名、准切正号#?在本试卷和签题卡相应位呂上°2.选出每⼩题答案厉,川铅笔把答题卡上对应题H 的答案标号涂⿊如需改动?川橡⽪擦⼲净后?仲选涂Jt 他答案标号，冋答⾮选择题时?将答案吗在答题卡上?每在⽊试卷上⽆效°3?考试结束,将本试卷和答题卡⼀并交回。
满分15（）分諾试吋间120分钟。
第⼀部分听⼒［共两节,满分30分］第⼀节（共5⼩题；毎⼩题1?5分?满分7.5分）听下⾯5段对话。
毎段对话后有⼀个⼩題■从题⼬所给的AbC 三个选项⼱选出最佳选项。
听完每段对话后,你都有10秒钟的时间来回答有关⼩题和阅读下⼀⼩题。
每段对话仅读⼀遍。
1. W r hy Can , t the WonKln get in the door?A? The d∞r is stuck. Ik The IoCk is frozen, 2. IlOχ? InUCII CIOeS Ihe WOlnan Want Io spend?Λ. $3() at most.B. $8() at most. 3. WhO might the WOnUUI be IalkilIg to?A. A COlIeagUe ? B ? A SaleSI)erson ? 4. Vi r llal (1Λ? It , s modem anB. It 1 S more attractive than IliS old one.C. It' S not appropriate for Ihe WorkI)I<κre?5? HOw does Ihe InaII feel UbOUt the idea?A. UnSlIrC ? B? Relaxed ? 第⼆节（共15⼩题:每⼩题1.5分?满分22.5分）听下⾯5段对话或独⽩。
哈尔滨师大附中、东北师大附中、辽宁省实验中学2022年高三第二次联合模拟考试英语试卷注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2．回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上，写在本试卷上无效。
3．考试结束后，将本试卷和答题卡一并交回。
第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例：How much is the shirt？A．£ 19.15．B．£ 9.18C．£ 9.15．答案是C。
1．Where is the woman eager to go？A．The Nile．B．The Pyramids．C．Egypt．2．What are they mainly talking about？A．New shoes．B．Shoe shops．C．Her husband．3．Where does the conversation take place？A．At a store．B．At a restaurant．C．At a hotel．4．What is the time now？A．9：00．B．9：15．C．9：45．5．What's the relationship between the speakers？A．Neighbors．B．Boss and employee．C．Doctor and patient．第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
一、单选题1. 某同学想自己设计并改装一个欧姆表。
他手上有如下器材：量程300μA 、内阻900Ω的电流计；电动势1.5V 的一节干电池；滑动变阻器、电阻箱和若干定值电阻。
他设计的电路如图甲所示，实验时他将两表笔短接，电流计指针满偏时，他计算出电路中的总电阻为5kΩ。
然后他将一个50Ω和10Ω的电阻分别接到两表笔之间时，发现电流计指针指示的位置几乎一样，很难区分。
经过研究后他认为，要想比较准确地测量几十欧姆的电阻，用图甲所示电路并不合适，为此他设计了如图乙所示的电路。
并联合适电阻 R ₂后，使干路电流是流经电流计电流的100倍。
则（ ）A ．将图乙电路中的两表笔短接，此时电路中的总电阻是5ΩB ．分别将一个50Ω和10Ω的电阻先后接到图乙电路的两表笔之间，通过干电池的电流几乎没有区别C ．分别将一个50Ω和10Ω的电阻先后接到图乙电路的两表笔之间，电流计指针指示的位置明显不同D ．在图甲电路和图乙电路的两表笔之间分别接入5kΩ和50Ω的电阻，通过两电流计的电流明显不同2.如图甲所示，正方形硬质金属框放置在磁场中，金属框平面与磁场方向垂直。
磁感应强度B 随时间t 变化规律如图乙所示。
在0~0.2s 的时间内与0.2s~0.6s的时间内（ ）A ．通过金属框的电荷量之比为2∶1B ．金属框中电流的电功率之比为4∶1C ．金属框中产生的焦耳热之比为4∶1D ．金属框两边受到安培力方向相反，大小之比为3∶13. 通过实验研究通电长直导线间的相互作用规律。
如图所示，为两根平行的长直导线，通过外接直流电源分别给两导线通以相应的恒定电流。
为导线所在平面内的两点。
下列说法中正确的是（ ）A．两导线中的电流大小相等、方向相反时，点的磁感应强度为零B ．导线电流向上、导线电流向下时，导线所受安培力向右C ．点的磁感应强度一定不为零D ．两导线所受安培力的大小一定相等4. 加速度传感器是一些智能手机上配备的较为实用的软件，能显示物体运动过程中的加速度变化情况。
三省三校第二次模拟答案三、填空题：13、8730 14、2π+ 1516、1 8. 2ln 2ln c c a a -=-考虑：()2ln(0)f x x x x =->，则22'()1x f x x x-=-=()f x 在(0,2)递减；()fx 在(2,)+∞递增 min ()(2)2(1ln 2)0f x f ==->（1）当02,2a c <<>时，21a +=设()x x g x =+，是减函数，且(2)1g = ()(2)121a a a g a g b a =+>=⇒=+>⇒> 2212152a b =+<+=⇒<所以，2|||2|c b a a c b >>>⇒->-（2）当02,2c a <<>时，同理可得：2|||2|a b c a c b >>>⇒->- 综上可得：|||2|a c b ->-成立.12.如图：（1）在第一象限+都是凹函数（二阶导数大于零）（2）图二、图三有过原点的切线（3）极值点的个数是一个或两个（4）当,m n 同奇数或同偶数时，()|()|f x f x =-；当,m n 是一奇，一偶数时，()|()|f x f x >-；15.设112200(,),(,),(,)M x y N x y Px y2211222222222200MN OP x y b a b k k a x yab⎧-=⎪⎪⇒⋅=⎨⎪-=⎪⎩，则OP 的方程为222b y x a =，MN 的方程为：2()y x c =- 2222()b y x a y x c ⎧=⎪⇒⎨⎪=-⎩22244P a c x c OP e a b ==+⇒=-16.A 队：2胜2负（无平局）C 对：3胜1负（无平局）B 队：2胜2平，则B 队和D 、E 是平局；B 队胜了A 、C这样找到了C 队负的一场，输给B 队这样B 、C 结束；A 队赢D 、E最后，E 胜D ，则D 的1分.四、解答题17.（本题满分10分）（1）证明：22222(1cos )4(1)42b c a bc A a bc a bc +-+=⇒+= 22()9b c a +=，则3b c a +=5' （2）由余弦定理得： 2222cos a b c b A =+-， 则9bc =，又3b c a +=，则3b c ==由角分线可得，95AD = 所以，在ABD ∆中，由余弦定理得：2222cos BD AD c AD c A =+-⋅，5BD = 10'18.（本题满分12分）（1）记：事件A = “业主对物业工作表示满意”，则231603()()5521004P A P A ⋅+⋅=⇒= 所以，35003754⨯=（人） 4' 答：该小区业主对物业工作表示满意的人数约为375人.（2）（i ）332445505551212117()()()()3333381P C C C =⋅+⋅+= 8'（ii ）设至少要访谈n 位业主 3173810(1)2(80%)10047.6481417n n ⋅-⋅⋅≥-⨯⇒≥≈ 答：至少要访谈48为业主. 12'2D C B A19.（本题满分12分）（1）证明：等腰梯形ABCD 中，2,1AB BC CD AD ==== 则，060ABC ∠= 2' 1BC AC BC BC AA ⊥⎧⇒⊥⎨⊥⎩平面11A ACC ，BC ⊂平面ABCD ，则平面ABCD ⊥平面11A ACC ， 4'（2）建立如图所示空间直角坐标系C xyz -，则(0,1,0),(2A B O ，131131(,0,),(,,0)22222A CD BA ==- 11111333111(,,0),(,0,),(0,,)222222B D BD DD AA D ==-==-- 设111333131(,0),(,,)222222D M D B M λλλλλ==---+， 6' 设平面MBC 的法向量为(,,)n x y z = 3131()022220n CM y z n CB y λλ⎧⎧⋅-++=⎪⎪⇒⎨⎨⋅⎪⎪⎩=⎩，取1x =，则(1,0,3)n λ=- 8'取平面ABCD 的法向量(0,0,1)m = 2||21|cos ,|417||||m n m n m n λ⋅<>==⇒=，则12λ= 即：13313(,,0),(1,0,)442A M n =-=-10' 设直线1A M 与平面MBC 所成的角为θ，则111||3sin |cos ,|37||||A M n A M n A M n θ⋅=<>==⋅ 所以，直线1A M 与平面MBC 所成的角正弦值为7. 12'20.（本题满分12分）（1）()()()k i j i j m j k m k i m c -+-+-= ()()()k j i j i m i k m k j m c -+-+-=当2nn b =时，123142,3,3m m m === 1426(12)(23)2(31)3033-+-⋅+-⋅=≠ 所以，{}n b 不是“梦想数列” 4'（2）21,21,21i j k a i a j a k =-=-=- 222()()()0k i j i j j k k i k i j-+-+-= 所以，{}n c 不是“梦想数列” 6'（3）①令1,2,3i j k === 123112(12)(23)(31)0312a a a a a a +++-+-+-= 所以，1322a a a +=，即：123a a a 、、成等差数列 8' ②令1,2,(3)i j k n n ===≥21(12)(2)(1)02n S S n a n n -+-+-= 2122(3)(1)0n S n n a n n a +---=21122(2)(1)0n S n n a n n a ++---+=所以，11121122220n n a na a na a a nd +++--=⇒=+所以，1(1)(4)n a a n d n =+-≥，当1,2,3n =时也成立. 综上可得， “梦想数列”{}n a 是等差数列. 12'21.（本题满分12分） （1）椭圆方程：22221(0)x y a b a b+=>>13323c b a a ⎧=⎪=⎧⎪⇒⎨=⎩=，所以，222121:1,:194x C y C y x +==- 4'（2）设直线l 的方程为y kx =，1122(,),(,)A x y B x y 2440y kx x kx =⎧⎪⇒--=，则124x x k +=⎧6'又1112112111,4164y x x x k k k x +====- 联立122114014y k x x k x x y =-⎧⎪⇒-=⎨=-⎪⎩，则114x k =，同理：224x k = 联立12211221(91)180990y k x k x k x x y =-⎧⇒+-=⎨+-=⎩ 13211891k x k =+，同理：24221891k x k =+ 8'2211221||||sin 42(91)(91)181||||sin 2MA MB AMB S k k S MD ME DME ∠==++∠ 10' 21214819169(19)811616324k k =+++≥，当且仅当112k =±时，取等号 所以，12S S 的最小值为169324. 12'22.（本题满分12分）（1）()f x 的定义域为(0,)+∞11'()1f x a x x=-=- 设切点坐标000(,ln 1)x x x -+，则切线方程为：00001(ln 1)(1)()y x x x x x --+=-- 把点(0,0)带入切线得：20x e = 所以，()f x 的切线方程为：221e y x e -= 4'（2）()(ln 1)ax g x x e x ax =+--有两个不同零点，则 ln (ln 1)0(ln )1(ln )10ax x ax ax x x e x ax x ax e x ax e -+--=⇒+--=+--=6' 构造函数()1,'()1x x u x e x u x e =+-=+()u x 为(,)-∞+∞增函数，且(0)0u =即：ln 0x ax -=有两个不等实根ln ax x =⎧令1122ln ,(01)ln x x t t x x ==<<，则1212ln ln ,ln ln ln x t x x x t ==+ 122ln 2ln ln 1t x x t t ++=- 8' 设22212()ln (01),'()[3ln ]1(1)x x x v x x x v x x x x x++-=<<=-+-- 设22(1)(2)()3ln 1,'()x x x x x x x x φφ--=-+-+= ()x φ在(0,1)递增，(1)0φ=，则()v x 在(0,1)递减，且(1)0v = 所以，()v x 的最小值(1)v ， 10' 11(2)ln lim ((2)ln )'|31x x x x x x x =→+=+=- 所以，()v x 的最小值为3，即：m 的取值范围为(,3]-∞. 12'。
哈尔滨师大附中东北师大附中辽宁省实验中学2023年高三第二次联合模拟考试语文试卷本试卷共23题，共150分，共8页。
考试结束后，将本试卷和答题卡一并交回。
注意事项：1.答题前，考生先将自己的姓名，准考证号码填写清楚，将条形码准确粘贴在条形码区域内。
2.答题时请按要求用笔。
3.请按照题号在答题卡各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试卷上答题无效。
4.作图可先使用铅笔画出，确定后必须用黑色字迹的签字笔描黑。
5.保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
一、现代文阅读(35分)(一)现代文阅读I(本题共5小题，17分)阅读下面的文字，完成1~5题。
材料一：习近平总书记强调：“要加强和创新社会治理。
”近年来，在城市和乡镇的大街小巷，城市书房、文化驿站、乡村文化礼堂等公共文化空间层出不穷，为广大群众提供了优质公共文化服务，也为加强和创新社会治理探索了新路径。
更好发挥文化在社会治理中的作用，一些地方进行了有益尝试。
比如，福建福州的“三坊七巷”、广东广州的永庆坊、广东潮州的牌坊街等，近年来开展历史文化街区的修复保护工作，充分利用文化空间，保存城市的历史文化传统。
人们徜徉其间，能感受到城市的历史底蕴、风土人情，无形中增强对城市的文化认同。
当前，各地积极建设新时代文明实践中心，国家文化公园等，反映出文化既是社会治理的对象和目标，也是社会治理的工具和路径。
一方面，通过社会治理在全社会形成文化认同，有助于进一步巩固社会主义核心价值观；另一方面，通过各类文化活动让人们受到文化的熏陶，能够以润物细无声的方式实现社会善治。
文化力量在乡村治理中也大有可为。
习近平总书记指出：“乡村振兴，既要塑形，也要铸魂，要形成文明乡风、良好家风、淳朴民风，焕发文明新气象。
”这既强调了文化在乡村治理中的重要性，也为确立乡村治理的文化内核指明了方向。
深入挖掘、继承，创新优秀传统乡土文化，有助于把我国农耕文明优秀遗产和现代文明要素结合起来，为乡村振兴培根铸魂。
东北三省三校（哈师大附中、东北师大附中、辽宁省实验中学）2018届高三语文第二次模拟考试试题一、现代文阅读（35分)（一）论述类文本阅读（本题共3小题，9分）阅读下面的文字，完成1~3题。
陆上和海上两条丝绸之路先后开通后，作为中国传统文化的代表——中国艺术厦其精神随之传至世界各地，并为世界艺术发展贡献着智慧。
《中国艺术如何影响世界》一书，主要将中国绘画艺术置于西方绘画艺术的坐标系中，从“末学西渐”的角度重点审视和探讨了中国艺术时世界艺术的影响和贡献。
本书认为西方一部分有重要影响的画家，之所以在创作中能取得辉煌的成就，都直接或间接地受到了中国绘画的深刻影响。
传统西方绘画用面表现物象，而中国绘画用线表现物象，空中的云、河中的水本来无线．但画家都用线条来表现。
至近现代，西方画家的作品凡有新意者，大多是改面为线而创作的，这是画家们借鉴中国绘画艺术得来的益处。
中国绘画艺术对世界艺术的影响，说到底是对中国之外的绘画创作者及其作品的影响。
本书中，作者以毕加索的画作为例展开论述。
毕加索早期的绘画以写实为主，但后来，他的画作以线条作为绘画的语言，笔法写意，绘画风格由具象转为抽象，实现了从画“形”到画“意”的转变。
这和他长期临摹中国画和倾心于中国绘画所倡导的价值追求颇有关系，毕加索曾赞许遭“谈到艺术，第一是你们中国人的艺术”。
而用线条造型，正是中国绘画艺术影响到和区别于其他风格绘画艺术的显著标志。
本书认为，西方绘画注重科学原理，中国绘画则更讲究哲学精神。
因此，西方绘画重在写形，强调视觉享受或冲击力：而中国绘画重在写心、畅神，强调人格的修炼、性情的抒发、思想的表达。
也就是说，在中国绘画理论视域中，绘画不过分强调描绘对象的真实与否，即不仅要画见到的“实”的东西，同时还要画见不到的和那些想象的“虚”的东西。
西方画家们仅在近一百年前，才领会其奥妙，而中国的画家们，一千多年前就已经在创作中自觉践行了这种理论。
笔者认为，深入挖掘中国艺术对世界艺术的影响和贡献迫在眉睫。
东北三省三校（哈师大附中、东北师大附中、辽宁省实验中学）2021届高三英语二模联考试题（含解析）一、阅读理解（本大题共15小题，共30.0分）AMoringa Farm Internship ProgramDATE： 5 May〜30 November 2021LOCATION： Jaipur IndiaEVENT TYPE：TwiningEVENT INDUSTRY/TOPIC： Clean Energy， Climate & Environment， Food & Agriculture andQuality/Process Moringa（辣木），a kind of miracle tree， has come a long way today to become a symbol of the fight against growing nutrition deficiency[营养不足）across the globe． It is also a crop suited to the climatic conditions of the region， which is unusually rich in its nutrition contentliterally from top to bottom．Supporting learning：The Moringa Farm Internship Program is sort of like a live， interactive slideshow of agriculture making of Moringa from "Soil to Super food" that touches all the participant's senses．The Program's Objectives：The Moringa Farm Internship Program is devoted to enriching the knowledge and lives of young people by providing them with a unique f educational experience on an organic Moringa Farm in rural Jaipur，India． Program participants can learn about conservation， maintenance （维护），care， and management of Moringa Farming by means of hands-on work experience with local Moringa Farm staff．Participants will be able to interact with Moringa specialists and educators？ on all issues that may affect their operations． Experts will let you know management strategies and equipment operation up close on hand to answer your specific questions．The Moringa Farm Internship will provide an excellent opportunity to learn about sustainable tools， techniques， and approaches that can be used in Moringa Production and value-added production systems， righting（突出）pest and disease management， leaf/seed production， and tools and equipment for commercial production．If you're trying to learn about Moringa， there's nothing like going to a farm and getting your hands dirty． So click here to register now!1.Why is Moringa specifically described in the text？ ______A. To stress the importance of the crop．B. To encourage people to plant Moringa．C. To show the significance of the program．D. To draw attention to nutrition deficiency．2.What can we know about the Moringa Farm Internship Program？ ______A. It is intended for farmers，B. It lasts more than half a year．C. It provides vocational training．D. It is available on the Internet．3.How do the program's participants learn about Moringa？ ______A. By attending various courses about it，B. By involving themselves in farming it．C. By observing specialists and educators．D. By watching slideshows about the crop．【答案】【小题1】C 【小题2】D 【小题3】B【解析】1． C 推理判断题．根据第一段"Moringa （辣木）， a kind of mirade te..ecome a symbol of the fight against growingnutrition deficiency （营养不足）across the globe．It is also a crop suited to the dlimatic conditions of the region，which isunusually rich in its nutrition content lterally from top to bottom．（辣木是一种神奇的树，成为对抗全球营养缺乏的象征．它也是一种适合该地区气候条件的作物，其营养成分从叶到根都非常丰富）可知，这部分对辣木的非凡作用进行了专门的介绍，而!该计划又是针对辣木的．由此可推断，此处介绍的目的是为了体现计划的意义和重要性，故选C．2． D 细节理解题．根据最后一段最后一句So click here to register now! （点击这里注册吧! ）可知，在网上可以找到该计划，故选D．3． B 推理判断题．根据第九段"Program participants can learn about conservation ，maintenance （维护），care ，and managementof Moringa Farming by means of hands-on work expe rience with local Moringa Farm staff．（参与者可以与当地辣木农场员I-．起实际体验工作，了解辣木种植的养护、维护、护理和管理）可知，参与人员通过亲自参加辣木种植来了解辣木，故选B．本文为说明文．文章主要介绍辣木农场实习计划的主题、目的、实习内容等相关事项．1．直接信息题：直接信息题是指能够直接从原文中找到信息，选项在语言表达上与原文基本一致的题目．2．间接信息题：间接信息题是能够从原文中找到信息，但在语言表达上与原文有差异，做题时需要对原文信息进行转换．3．综合信息题：综合信息题是指这类题目所涉及的信息不是原文的某一句话，可能是原文的几句话，或者是散落在文章不同的地方，要求学生把原文所提供的信息综合起来分析，而不能断章取义．BWe had two dogs， Lucky and Lil' Bit． Lucky loved to find ways to leave the confines（束缚）of her indoor living routine， which made her a masterful escape artist． Lil Bit， on the other hand， did exactly as she was told， never straying， always staying close to home…except when she came under the influence of Lucky．Whenever the two got out together， they could be seen out of sights often staying away for hours． More often than not， they'd arrive home near suppertime， covered in mud and leaves and smelling to high heaven from their afternoon outing in the woods．I remember one such occasion when they'd once again mysteriously escaped， except this time，they returned clean and no worse for wear． It wasn't until a few days later that we learned why． My wife ran into our neighbor Carl who lived a few houses down from us．"I saw your two dogs the other day，" Carl said with a smile．"Oh， yes？ I'm so sorry． They'd been so good lately， so it was such a surprise when they got out． I sure hope they didn't cause any trouble．" my wife replied．"Oh， no， no trouble at all． Did you have any idea where they went？""No，" my wife answered．"They attended my dog's funeral（葬礼）Carl said sadly．"What？" Ann exclaimed， "Oh， no． I didn't know Toby had died．"Yep， it died a couple days ago． I was burying him in the back lot when your two dogs came running up． They sat down not far from me while． I finished burying him， then they left． " "Wow that's amazing!" my wife replied． "Toby was Lil' Bitt father， you know．""No， I didn't know that，" Carl replied， "but I guess that explains why she felt like she needed to be there． She had to say her final goodbye． "4.What words can best explain the meaning of the word "straying" underlined in Para． 1？ ______A. Wandering away．B. Staying still．C. Shouting loudly．D. Disobeying impolitely．5.What difference between Lucky and Lily Bit ls suggested in the first paragraph？ ______A. Their abilities were different．B. Their hobbies were different．C. Their personalities were different．D. Their physical features were different．6.What would generally happen to the two dogs after they got home from outside？ ______A. They got more united．B. They looked in a mess．C. They smelled nice as usual．D. They got willing to do as told to．7.What is the author's purpose of writing the text？ ______A. To show his respect for dogs．B. To be in memory of his dogs．C. To suggest learning from dogs．D. To think highly of his two dogs．【答案】【小题1】A 【小题2】C 【小题3】B 【小题4】D【解析】1．A．词义猜测题．根据文章第一段Lil Bit，on the other hand，did exactly as she was told，never straying，always staying close to home…except when she came under the influence of Lucky ．另一方面，就像她被告知的那样，从不迷路，总是呆在家附近…除非她受到幸运的影响．可知意为走失；故选A．2．C．细节理解题．根据文章第一段Lucky loved to find ways to leave the confines（束缚）of her indoor living routine，which made her a masterful escape artist．Lil B it，on the other hand，did exactly as she was told，never straying，always staying close to home…except when she came under the influence of Lucky幸运的是，她喜欢设法摆脱室内生活的束缚束缚，这使她成为一个出色的逃避现实的艺术家；可知Lucky和Lily Bit ls的区别是他们的性格不同；故选C．3．A．细节理解题．根据文章第二段More often than not， they'd arrive home near suppertime， covered in mud and leaves and smelling to high heaven from their afternoon outing in the woods．更多的时候，他们会在晚饭时间到家，浑身是泥，树叶，下午在树林里郊游时闻到天堂的味道．可知这两只狗从外面回家后通常会看起来一团糟；故选A．4．D．细节理解题．根据文章最后一段"No，I didn't know that，" Carl replied，"but I guess that explains why she felt like she needed to b e there．She had to say her final goodbye．"不，我不知道，卡尔回答说，但我想这解释了为什么她觉得她需要去那儿．可知作者写文是为表示对自己两条狗的高度评价；故选D本文属于说明文阅读，作者通过这篇文章主要向我们描述了作者养的两条狗 Lucky and Lil' Bit，他们有情有义为隔壁死去的狗祭奠．考察学生的推理判断能力和联系上下文的的能力，在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．此类的填空题一定要联系上下文，根据上下文的内容加上自己的理解，再作出正确的判断CTwo years ago， Kiirsat Ceylan was in New York to give a talk about disability rights at the U． N． Blind since birth， the Turkish man was struggling to find his hotel， holding a cane in one hand and pulling his luggage with the other．"Not surprisingly， suddenly I bumped into a pole/*he says*"It was a bit bloody．"The problem with a cane is that， while it can tell you what's on the grounds it doesn't help with objects at the body or head level． It wasn't the first time Ceylan had run into something，injuring himself．"" I have no problem with my scars， which make me more handsome I guess，" Ceylan says，laughing． "But I don't need hew ones．"With WeWalk， a new smart cane， Ceylan hopes to help other blind people navigate their environments more easily*The cane uses an ultrasonic（超声波）sensor which detects objects at body or head level and gives a warning vibration． WeWalk users pair the cane with their smartphones and then use the cane's touchpad to access features like voice assistant or navigation*Before leaving home，they can plug their destination into Google Maps and get spoken directions as they walk In the future， Ceylan hopes to connect WeWalk with public transportation and ridesharing services．Assistive technology is often expensive for blind people， says Eelke Folmer， a computer science professor at the University of Nevada! Reno． "But developers fail to realize their devices are out of reach for many blind people， To Folmer， the price point-﹩ 500-- sets the WeWalk cane apart from other technologies．Ceylan sees WeWalk as part of an attempt to help blind people achieve greater freedom of movement，which he believes will give them greater access to education and jobs． The canes are already having an impact on users， Ceylan says． He recently received an email from a teacher in Ireland who had become blind as an adult． He'd been depressed and housebound． But since getting a WeWalk cane， your device forced me to go out． It became my anti- depressant． " he wrote．8.Why is a story about Kursat Ceylan given at the beginning of the text？ ______A. To stress the difficulty caused by blindness．B. To show his reason for developing his cane．C. To indicate the problems with present canes．D. To show his positive and humorous character．9.What can WeWalk do at present according to the text？ ______A. Provide fast Internet access．B. Start conversations with users．C. Tell users what is around them．D. Connect with ridesharing services．10.What does Folmer think is the advantage of WeWalk over other assistive technologies？ ______A. It is easily affordable，B. It is easily controllable．C. It works better for users，D. It looks more attractive．11.What is the text mainly about？ ______A. The increasing demand for smart canes．B. A blind man s devotion to smart canes．C. A smart cane's effects on blind people，D. An assistive technology for the blind．【答案】【小题1】B 【小题2】C 【小题3】A 【小题4】B【解析】1．B．细节理解题．根据第五段的With WeWalk， a new smart cane，Ceylan hopes to help other blind people naviga te their environments more easily．有了新的智能拐杖WeWalk，Ceylan希望能帮助其他盲人更容易地驾驭他们的环境．可知，文章提到Kursat Ceylan 的故事是想说明他研发这种拐杖的原因．故选B．2．C．细节理解题．根据第五段的With WeWalk， a new smart cane，Ceylan hopes to help other blind people naviga te their environments more easily．有了新的智能拐杖WeWalk，Ceylan希望能帮助其他盲人更容易地驾驭他们的环境．可知，WeWalk可以告诉使用者周围的情况．故选C．3．A．细节理解题，根据文章倒数第二段的句子To Folmer，the price point-﹩500-- sets the WeWalk cane apart from other technologies．对Folmer来说，500英镑的价格使WeWalk手杖有别于其他技术．可知，Folmer 认为这种拐杖和其他的拐杖比起来是使用者能负担得起．故选A．4．B．主旨大意题，根据文章的内容可知，文章介绍盲人Kursat Ceylan 一直致力于研发一直智能拐杖，帮助盲人到处自由行走．故选B．文章介绍盲人Kursat Ceylan 一直致力于研发一直智能拐杖，帮助盲人到处自由行走．阅读理解题测试考生在阅读基础上的逻辑推理能力，要求考生根据文章所述事件的逻辑关系，对未说明的趋势或结局作出合理的推断；或根据作者所阐述的观点理论，对文章未涉及的现象、事例给以解释．考生首先要仔细阅读短文，完整了解信息，准确把握作者观点．DWhen you think of a national park， you generally picture fresh air and wild animals， right？Well， now you're going to have to add tea shops and something called "the Tube" to your definition，because London， England has signed up to be the first "National Park City．"London was established by the Romans around 2，000 years ago and has been continually inhabited （居住于）since then*In all that time， however， nobody had the idea to replace all the parks with big box stores or high buildings^ which means London already has a much lower urban density （密度）than most of the worlds cities． Nowadays about a third of the city is green space，In July 2021， London announced its willingness to become the world's first National Park City，Now the city is moving toward the goal of achieving 50% green space by the year 2050 by connecting and expanding public parks， greening up unused parking lots and the private yards of existing and new houses， fixing some green roofs on existing buildings and even cutting holes in fences for wildlife to pass through．"Inspired by the aims and values of our precious rural national parks， the London National Park City is basically about making life better in the capital through both small everyday things and long-term strategic thinking，" Daniel Raven-Ellison， who began the campaign to make London a National Park City six years ago said in a press release． "We've been doing that in London for centuries， which is why London is so green and diverse，＞fLondon will have a much easier job achieving this type of green transformation than more densely-urbanized cities like Paris and New York， which have 10% and 27% greenspace，respectively． But that doesn't mean it's not possible--the National Park City Foundation hopes to employ 25 more cities in addition to London by the year 2025． Glasgow， Scotland and Newcastle upon Tyne in northeast England are both currently considering becoming National Park Cities．12.What makes London more likely to become a national park city than other cities？ ______A. Its smaller population．B. The government's efforts．C. Its less dense urbanization，D. Its citizens' great support．13.Where can we find the data on London's measures to achieve its goal？ ______A. In Paragraph 1．B. In Paragraph 2．C. In Paragraph 3．D. In Paragraph 4．14.What is Daniel Raven-Ellison trying to talk about in the fourth paragraph？ ______A. London's long-term strategic thinking．B. The significance of London's campaign．C. The effects of national parks on London．D. The resources of London s green space．15.What can we infer from the last paragraph？ ______A. Trying to be a national park city is turning new trend．B. National park cities are springing up around the world．C. It is so easy for London to become a national park city．D. National park cities are making improvements to our life．【答案】【小题1】C 【小题2】C 【小题3】B 【小题4】A【解析】1．C．细节理解题．根据文章第二段which means London already has a much lower urban density （密度）than most of the worlds cities．这意味着伦敦的城市密度已经远远低于世界上大多数城市．可知，伦敦与世界上的其他城市相比较是一个城市化密度比较低的地区；故选C．2．C．推理判断题．根据文章第三段Now the city is moving toward the goal of achieving 50% green space by the year 2050 by connecting and expanding public parks现在，该市正朝着到2050年通过连接和扩展公共公园实现50%绿地率的目标迈进．可知，在第三段提到了伦敦为了实现到2050年达到50%是绿色空间这一目标而努力，后面是具体的措施；故选C．3．B．细节理解题．根据文章第四段the London National Park City is basically about making life better in the capital ，伦敦国家公园城市基本上是为了改善首都的生活．以及最后一句中的which is why London is so green and diverse可知，伦敦行动正在把城市变得更美丽、更多样化，环境更清新，由此推知这是伦敦行动产生的影响；故选B．4．A．推理判断题．根据文章最后一段that doesn't mean it's not possible--the National Park City Foundation hopes to employ 25 more cities in addition to London by the year 2025这并不意味着这是不可能的--国家公园城市基金会希望到2025年，除了伦敦之外，还能再雇佣25个城市．可知，许多城市都在努力争取成为国家公园城市，这已经变成了一种流行的趋势；故选A．本文属于新闻报道类的短文阅读．主要介绍了伦敦致力于建成国家级的公园城市，努力创造更加湛蓝、清澈的天空．国家公园城市的创建已经成为了一种趋势．做题时要在理解好文意的基础上，与题目有机的结合，从文章中找到相关细节性的句子与选项细细比对，进行选择或推理判断，找出符合文章内容的正确答案．做题注意灵活，有时可采用排除法或直选法确定出最终答案．二、阅读七选五（本大题共5小题，共10.0分）Continuous learning benefits us in many ways． First of all， it allows the increase in knowledge and ability in our career． For example， watching someone work can make us a better worker． (1) For example， we can learn about the general workforce and how the application process works to better prepare us for job searching． This can help if for some reason you lose your job and need to find other work．What's more， continuous learning can open our mind． Having an open mind and willingness to takeon new ideas can do wonders． First of all it builds your attitude towards change． (2) Second，when you take continuous learning into account， you can begin to understand how others feel abouta particular issue．(3) They are always looking for new experiences and do different things． Moreover，they not only have knowledge on various topics that aren't always related to present roles but also know about the latest trends and technologies in the industry．To develop continuous learning， you have to begin with setting a clear and specific goal． (4) Once your goal is set， build a system to help support your strategy． You want to be looking for different sources of information， but also to be picky about it， In other words， try to learn within your specific field but ensure the information is coming from a trustworthy source- At the same time， do use tools to help improve your learning system． (5) Seminars （研讨会），workshops ， and live classes are the tools that modern learners need as they make learning effective-A．Learning can improve other areas in our lives．B．Besides， learning can prepare us for the unexpected．C．If always learning， you are always improving．D．Excellent continuous learners behave in a specific manner．E．Being excited about change can affect others around you positively．F．There're various tools to help you present information and learning．G．Knowing what you want to achieve can encourage you to keep learnings16. A. A B. B C. C D. D E. E F. FG. G17. A. A B. B C. C D. D E. E F. FG. G18. A. A B. B C. C D. D E. E F. FG. G19. A. A B. B C. C D. D E. E F. FG. G20. A. A B. B C. C D. D E. E F. FG. G【答案】【小题1】B 【小题2】E 【小题3】D 【小题4】G 【小题5】F【解析】BEDGF1． B．考查细节理解和上下文之间的衔接．根据第一段中的First of all可推知，接下来描述的是第二个方面，结合后面的句子This can help if for some reason you lose your job and need to find other wo rk．可知，这是描述的当你失去工作或者需要找另一份工作时的帮助，所有B项Besides，learning can prepare us for the unexpected．具有承上启下的作用，能给你带来意料之外的结果；故选B．2． E．考查细节理解和上下文之间的衔接．根据前面一句First of all it builds your attitude towards change可知，第一点主要介绍的是建立你应对变化的态度，Being excited about change can affect others around you positively．正是介绍的积极应对变化会对周围的人产生好的影响；故选E．3． D．考查细节理解和上下文之间的衔接．后面的句子They are always looking for new experiences and do different things．说的是他们总是在寻找新的经历，做着不同的事情，与之相对应的就是D．Excellent continuous learners behave in a specific manner（优秀的持续的学习者总是行事特殊），后面的句子就是举例说明这一点．故选D．4． G．考查细节理解和上下文之间的衔接．该空的前面you have to begin with setting a clear and specific goal是说要从设定一个清晰明确的目标开始，后面又说一旦设定了目标就要怎么做，那么Knowing what you want to achieve can encourage you to keep learnings（知道自己想要实现的目标能够鼓舞你继续学习）能够和上下文相衔接．故选G．5． F．考查细节理解和上下文之间的衔接．前面do use tools to help improve your learning system是说要一定使用不同的工具来提高你的学习系统，后面又列举了几个不工具的名称，所以F项There're various tools to help you present information and learning（有各种各样的工具可以帮助你们展现信息和学习进程）符合；故选F．本文属于议论文的短文阅读．主要介绍的是不断的学习给我们在很多方面带来益处．并从几个方面进行了详细的分析和解读．七选五阅读是完成性阅读，和完形填空很类似，不同的是一个选词，一个选句子．解题时，要注意上下文语境，充分考虑信息词（选项中和空格前后句子中相同或相近七的词），选出最符合语境的句子三、完形填空（本大题共20小题，共30.0分）When I was growing up， there was a pizza shop right down the street from me， The pizza shop was(21) by a Chinese woman who opened the place around 11 ：00 a． m． and closed it around midnight every day． The food was good， and its(22)were a right size． As far as I knew， the menu never(23)． The woman would take a（n）(24) and then return to the kitchen and make it while the customer stood(25) at the counter．One day the woman(26) the pizza shop to a man． The man(27)on running thepizza shop with his wife． I was around fifteen and one day I went inside the pizza shop and began talking with the new owners． Within minutes of my starting the(28)， the man and his wife offered me a（n）(29)． They'd printed many paper menus and they wanted me to hang them on the doors in the area．I enjoyed the work as it was fun． As I did this with them one Sunday afternoon， they told me about how(30)the Chinese woman had been． They told me she used too expensive cheese． They were planning to stop(31)chicken because chicken was expensive and pizza was really(32)to make． They were(33)the business was going to be a cash cow for them．As I listened to all this， I decided these people must be very smart． (34)， within several months， they were out of(35) completely， and the pizza place sat there vacant for over a year(36) it was turned into flooring store． The new owners thought only about how the business could(37) them， and how they could reduce(38)to fatten their own wallets． This is why they endedup(39)． After all， everyone loves people and businesses that are more(40) with serving others than themselves．21. A. purchased B. expanded C. operated D. frequented22. A. populations B. portions C. measures D. surroundings23. A. improved B. extended C. worsened D. altered24. A. order B. chance C. walk D. dish25. A. resting B. admiring C. waiting D. observing26. A. transferred B. sold C. referred D. donated27. A. focused B. went C. insisted D. planned28. A. trade B. argument C. discussion D. deal29. A. recommendation B. jobC. assignmentD. reward30. A. stupid B. intelligent C. awkward D. hardworking31. A. preparing B. buying C. serving D. consuming32. A. swift B. cheap C. interesting D. convenient33. A. worried B. lucky C. hopeful D. sure34. A. Instead B. Additionally C. However D. Consequently35. A. business B. sight C. place D. control36. A. Unfortunately B. Instantly C. Suddenly D. Eventually37. A. influence B. benefit C. promote D. involve38. A. costs B. bills C. prices D. ingredients39. A. declining B. quitting C. failing D. compromising40. A. satisfied B. concerned C. patient D. familiar【答案】【小题1】C 【小题2】C 【小题3】D 【小题4】A 【小题5】C【小题6】A 【小题7】B 【小题8】C 【小题9】B 【小题10】A【小题11】C 【小题12】B 【小题13】C 【小题14】C 【小题15】B【小题16】D 【小题17】B 【小题18】A 【小题19】C 【小题20】B【解析】1---5 CCDAC 6--10 ABCBA 11--15 CBCCB 16--20 DBACB（1）C．考查动词及语境理解．A．purchased购买； B． expanded扩展； C． operated操作，使运行；D．frequented常去．根据后文who opened the place around 11 ：00 a．m．and closed it around midnight every day．可见是一个中国妇女经营这件披萨店，所以选C．（2）C．考查名词及语境理解．A．populations人口； B． portions 部分；C． measures尺寸；D．surroundings环境．根据a right size是合适的尺寸，所以说的应该是measures尺度，所以选C．（3）D．考查及语境理解．A．improved提高； B． extended 扩展；C． worsened变得更糟； D．altered 改变，更改．据我所知，菜单从来没有改变过，所以选D．（4）A．考查名词及语境理解．A．order 订单；B． chance 机会；C． walk 走路；D．dish盘子．根据后文句子return to the kitchen and make it while the customer stood（5）at the counter．可见是拿到订单后去厨房做出来，客人在外边等着，所以选A．（5）C．考查动词及语境理解．A．resting 休息；B． admiring崇拜； C． waiting等待； D．observing 观察．可见老板是拿到订单后去厨房做出来，客人在外边等着，所以选C．（6）A．考查及语境理解．A．transferred转移，转让； B． sold 卖；C． referred谈及； D．donated 捐赠．根据后文句子 began talking with the new owners．可见这个女的把披萨店转给了一个男人，所以选A．（7）B．考查短语及语境理解．A．focused on集中注意力于；B． went on继续；C． insisted on坚持；D．planned on做计划．这个男的和他的妻子继续经营披萨店，所以选B．（8）C．考查名词及语境理解．A．trade 买卖；B． argument 争论；C． discussion 讨论；D．deal 交易．根据前文句子I went inside the pizza shop andbegan talking with the new owners，我和他们谈话，讨论了几分钟，这对夫妇提供给我一份工作，所以选C．（9）B．考查名词及语境理解．A．recommendation 推荐；B． job 工作；C． assignment任务； D．reward 回报．根据后文句子They'd printed many paper menus and they wanted me to hang them on the doorsin the area，他们印了很多纸菜单，想让我把它们挂在那个地方的门上，I enjoyed the work as it was fun．可见这应该是他们提供给我的一个工作，所以选B．（10）A．考查形容词及语境理解．A．stupid 愚蠢的；B． intelligent 聪明的；C． awkward可怕的；D．hardworking努力工作的．根据后文They told me she used too expensive cheese．这对夫妇告诉我原来的老板用太贵的奶酪，在他们的眼中应该是愚蠢的，所以选A．（11）C．考查动词及语境理解．A．preparing准备； B． buying买； C． serving 提供；D．consuming 消费．根据后文句子chicken was expensive and pizza was really（12）to make．鸡肉太贵了，可见他们不再提供鸡肉．所以选C．（12）B．考查形容词及语境理解．A．swift 迅速的；B． cheap 便宜的；C． interesting有趣的；D．convenient方便的．根据前文句子They were planning to stop（11）chicken because chicken was expensive ，可见披萨的制作降低了成本，很便宜．所以选B．（13）C．考查形容词及语境理解．A．worried 焦急的；B． lucky 幸运的；C． hopeful有希望的； D．sure 确定的．他们希望这家店铺能成为他们的摇钱树．所以选C．（14）C．考查副词及语境理解．A．Instead代替； B． Additionally 此外；C． However然而；D．Consequently因此．根据前文句子As I listened to all this，I decided these people must be very smart，我以为他们很聪明，然而几个月之后，披萨店就不见了，所以选C．（15）B．考查名词及语境理解．A．business 商业；B． sight看，景观； C． place 地方；D．control 控制．根据后文句子and the pizza place sat there vacant for over a year（16）it was turned into flooring store，可见几个月之后，披萨店就不见了．所以选B．（16）D．考查副词及语境理解．A．Unfortunately不幸地； B． Instantly 立刻；C． Suddenly 突然；D．Eventually最终．根据前文句子the pizza place sat there vacant for over a year，最终转成了一个地板店，所以选D．（17）B．考查动词及语境理解．A．influence影响； B． benefit 好处；C． promote晋升； D．involve 参与，牵扯．根据前文对披萨店老板的描述可知老板只考虑披萨店给他们带来好处，所以选B．（18）A．考查名词及语境理解．A．costs 外套；B． bills 账单；C． prices价格； D．ingredients 原料，成分．根据前文句子The new owners thought only about how the business could（17）them，老板只考虑披萨店给他们带来好处，他们能够降低成本来填满自己的钱包．所以选A．（19）C．考查动词及语境理解．A．declining 宣布；B． quitting 停止；C． failing 失败；D．compromising 比较．老板只考虑披萨店给他们带来好处，他们能够降低成本来填满自己的钱包．这就是他们为什么以失败告终的原因，所以选C．（20）B．考查及语境理解．A．satisfied 满意的；B． concerned 关心的；C． patient 有耐心的；D．familiar 熟悉的．毕竟，每个人都爱那些更关心为他人服务的人和企业．所以选B．本文记述了一家披萨店不同老板经营的披萨店的景象，也告诉我们第二个老板只考虑披萨店给他们带来好处，他们能够降低成本来填满自己的钱包．这就是为什么以失败告终的原因．做完型填空首先要通读全文，了解大意．一篇完形填空的文章有许多空格，所以，必须先通读一至两遍，才能大概了解文章的内容．千万不要看一句，做一句．其次要逐句分析，前后一致．选择答案时，要考虑整个句子的内容，包括搭配、时态、语法等．答案全部填完后，再通读一遍文章，检查是否通顺流畅了，用词得当，意思正确．四、语法填空（本大题共1小题，共15.0分）41.Plastic is a huge problem for our planet． It is really (1) （ challenge） to get rid of anda lot of it ends up in nature or in the ocean in particular． There， it is a threat (2) ouranimals and plants．Now a company from the Netherlands， a small country in western Europe， says that it will use plastic (3) （ find） in the ocean to build roads． Volker Wessels (4) （turn） the plastic into building blocks for the roads． They will be like puzzle pieces (5) fit into each other．Not only will this be good for the environment， but also it will be good for the people who look after roads． If a part of the road (6) （damage），it will be easy to remove it andreplace it with another piece． The company says that nearly any type of plastic can be used(7) （make） the road pieces．Scientists (8) （work） on the project say that they are in the final stages of testing the materials for (9) （safe）． They say that the first road built will be (10) bicycle path somewhere in the Netherlands．【答案】【小题1】challenging【小题2】to【小题3】found【小题4】will turn【小题5】which【小题6】is damaged【小题7】to make【小题8】working【小题9】safety【小题10】a【解析】（1）challenging．考查派生词．做It is 的表语，表示"具有挑战性的"，用形容词challenging．（2）to．考查介词．和名词a threat连用，表示"是…的威胁"，修饰名词our animals and plants，用介词to．（3）found．考查非谓语动词．做定语，和名词plastic是被动关系，用过去分词found．（find） in the ocean to build roads． Volker Wessels（4）will turn．考查谓语动词．根据后文可知不玩你就用一般将来时态，所以谓语动词用will turn．（5）which．考查定语从句．代指先行词 puzzle pieces，做非限制性定语从句fit into each other的主语，用关系词which．（6）is damaged．考查谓语动词．根据主将从现可知从句用一般现在时态，后文主语a part of the road 一致，表示"被损坏"，谓语动词用is damaged．（7）to make．考查动词不定式．表示"被用了做某事"，用be used to do sth，所以用动词不定式to make．（8）working．考查非谓语动词．做定语，和名词Scientists构成主动关系，用现在分词working．（9）safety．考查派生词．做 testing the materials for的宾语，表示"安全"，用名词safety．（10）a．考查冠词．修饰名词bicycle path，表示"一条自行车道"，用不定冠词a．塑料对我们的星球来说是一个巨大的问题．要摆脱塑料确实是一个挑战，很多塑料最终会进入大自然，特别是海洋．在那里，塑料对我们的动植物是一个威胁．现在，一家来自西欧小国荷兰的公司说，他们将使用在海洋中发现的塑料来建造道路，他们正在对材料进行安全性测试的最后阶段．他们说，在荷兰某处修建的第一条道路将是一条自行车道．语法填空是通过语篇在语境中考查语法知识的运用能力．我们在解题前应快速浏览短文掌握大意，有把握的空格可以进行填写．在读懂的基础上，再结合短文提供的特定的语言环境去逐句分析逐题解答．按题型设计分三种情况：1．纯空格试题的解题技巧首先分析句子结构，根据所缺成分确定哪类词．然后，根据句子意思，确定具体填什么词，或根据两句间的逻辑关系确定具体用哪个连词．比如第65小题，考查连词．根据前后文的关系可得出，此处为转折关系，故填however．2．给出了动词的试题解题技巧首先，判断要填的动词是谓语动词还是非谓语动词．若句子没有别的谓语动词或者虽然已有谓语动词，五、书面表达（本大题共1小题，共25.0分）42.假定你叫李华，在你校就读的来自美国的交换生杰克很想学习中国书法（Chinese calligraphy），想找一位中国书法教师．请给他写封邮件，内容包括：1．已为他找了一名教师李先生；。
